Rigidity at the boundary for conformal structures and other Cartan geometries
Differential Geometry
2008-06-06 v1
Abstract
In this paper, we consider the problem of building a conformal boundary, embedding a pseudo-Riamnnian manifold as an open subset of a bigger one. We get first results about conformal maximality. We also show that in dimension , there are rigidity properties for the topological boundary of such a conformal embedding. We get results of the same kind about general Cartan geometries.
Cite
@article{arxiv.0806.1008,
title = {Rigidity at the boundary for conformal structures and other Cartan geometries},
author = {Charles Frances},
journal= {arXiv preprint arXiv:0806.1008},
year = {2008}
}